5x-6+3x=4(x-3)

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Solution for 5x-6+3x=4(x-3) equation:


Simplifying
5x + -6 + 3x = 4(x + -3)

Reorder the terms:
-6 + 5x + 3x = 4(x + -3)

Combine like terms: 5x + 3x = 8x
-6 + 8x = 4(x + -3)

Reorder the terms:
-6 + 8x = 4(-3 + x)
-6 + 8x = (-3 * 4 + x * 4)
-6 + 8x = (-12 + 4x)

Solving
-6 + 8x = -12 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-6 + 8x + -4x = -12 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-6 + 4x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 4x = -12 + 0
-6 + 4x = -12

Add '6' to each side of the equation.
-6 + 6 + 4x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = -12 + 6
4x = -12 + 6

Combine like terms: -12 + 6 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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